Theoretical numerical analysis : a functional analysis framework
Author(s)
Bibliographic Information
Theoretical numerical analysis : a functional analysis framework
（Texts in applied mathematics, 39）
Springer, c2005
2nd ed.
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Note
Includes bibliographical references and index
Description and Table of Contents
Description
This textbook covers basic results of functional analysis and also some additional topics which are needed in theoretical numerical analysis. For this second edition, a new chapter on Fourier analysis and wavelets and over 140 new exercises have been added, almost doubling the exercise amount from the last edition. Many sections from the first edition have been revised. Some of the other topics covered in this book are functional analysis and approximation theory, nonlinear analysis, Sobolev spaces, elliptic boundary value problems and variational inequalities.
Table of Contents
Preface to the Second Edition.- Preface to the First Edition.- Linear Spaces.- Linear Operators on Normed Spaces.- Approximation Theory.- Fourier Analysis and Wavelets.- Nonlinear Equations and Their Solution by Iteration.- Finite Difference Method.- Sobolev Spaces.- Variational Formulations of Elliptic Boundary Value Problems.- The Galerkin Method and Its Variants.- Finite Element Analysis.- Elliptic Variational Inequalities and Their Numerical Approximations.- Numerical Solution of Fredholm Integral Equations of the Second Kind.- Boundary Integral Equations.- References.- Index.
by "Nielsen BookData"
